ProShares Ultra Dow30 (DDM)

TotalReturn:

'Total return is the amount of value an investor earns from a security over a specific period, typically one year, when all distributions are reinvested. Total return is expressed as a percentage of the amount invested. For example, a total return of 20% means the security increased by 20% of its original value due to a price increase, distribution of dividends (if a stock), coupons (if a bond) or capital gains (if a fund). Total return is a strong measure of an investment’s overall performance.'

• The total return over 5 years of ProShares Ultra Dow30 is 119.4%, which is higher, thus better compared to the benchmark SPY (101.3%) in the same period.
• Looking at total return, or increase in value in of 71.3% in the period of the last 3 years, we see it is relatively smaller, thus worse in comparison to SPY (75.7%).

CAGR:

'The compound annual growth rate (CAGR) is a useful measure of growth over multiple time periods. It can be thought of as the growth rate that gets you from the initial investment value to the ending investment value if you assume that the investment has been compounding over the time period.'

• The annual return (CAGR) over 5 years of ProShares Ultra Dow30 is 17.1%, which is greater, thus better compared to the benchmark SPY (15.1%) in the same period.
• Looking at annual performance (CAGR) in of 19.7% in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (20.8%).

Volatility:

'Volatility is a rate at which the price of a security increases or decreases for a given set of returns. Volatility is measured by calculating the standard deviation of the annualized returns over a given period of time. It shows the range to which the price of a security may increase or decrease. Volatility measures the risk of a security. It is used in option pricing formula to gauge the fluctuations in the returns of the underlying assets. Volatility indicates the pricing behavior of the security and helps estimate the fluctuations that may happen in a short period of time.'

• Compared with the benchmark SPY (17.1%) in the period of the last 5 years, the volatility of 29.3% of ProShares Ultra Dow30 is larger, thus worse.
• Compared with SPY (15.6%) in the period of the last 3 years, the historical 30 days volatility of 27% is higher, thus worse.

DownVol:

'Risk measures typically quantify the downside risk, whereas the standard deviation (an example of a deviation risk measure) measures both the upside and downside risk. Specifically, downside risk in our definition is the semi-deviation, that is the standard deviation of all negative returns.'

• The downside deviation over 5 years of ProShares Ultra Dow30 is 20.3%, which is larger, thus worse compared to the benchmark SPY (11.8%) in the same period.
• During the last 3 years, the downside deviation is 18.3%, which is greater, thus worse than the value of 10.4% from the benchmark.

Sharpe:

'The Sharpe ratio (also known as the Sharpe index, the Sharpe measure, and the reward-to-variability ratio) is a way to examine the performance of an investment by adjusting for its risk. The ratio measures the excess return (or risk premium) per unit of deviation in an investment asset or a trading strategy, typically referred to as risk, named after William F. Sharpe.'

• Looking at the ratio of return and volatility (Sharpe) of 0.5 in the last 5 years of ProShares Ultra Dow30, we see it is relatively lower, thus worse in comparison to the benchmark SPY (0.74)
• Looking at Sharpe Ratio in of 0.64 in the period of the last 3 years, we see it is relatively smaller, thus worse in comparison to SPY (1.17).

Sortino:

'The Sortino ratio, a variation of the Sharpe ratio only factors in the downside, or negative volatility, rather than the total volatility used in calculating the Sharpe ratio. The theory behind the Sortino variation is that upside volatility is a plus for the investment, and it, therefore, should not be included in the risk calculation. Therefore, the Sortino ratio takes upside volatility out of the equation and uses only the downside standard deviation in its calculation instead of the total standard deviation that is used in calculating the Sharpe ratio.'

• Compared with the benchmark SPY (1.07) in the period of the last 5 years, the downside risk / excess return profile of 0.72 of ProShares Ultra Dow30 is lower, thus worse.
• Compared with SPY (1.75) in the period of the last 3 years, the ratio of annual return and downside deviation of 0.94 is lower, thus worse.

Ulcer:

'Ulcer Index is a method for measuring investment risk that addresses the real concerns of investors, unlike the widely used standard deviation of return. UI is a measure of the depth and duration of drawdowns in prices from earlier highs. Using Ulcer Index instead of standard deviation can lead to very different conclusions about investment risk and risk-adjusted return, especially when evaluating strategies that seek to avoid major declines in portfolio value (market timing, dynamic asset allocation, hedge funds, etc.). The Ulcer Index was originally developed in 1987. Since then, it has been widely recognized and adopted by the investment community. According to Nelson Freeburg, editor of Formula Research, Ulcer Index is “perhaps the most fully realized statistical portrait of risk there is.'

• The Ulcer Index over 5 years of ProShares Ultra Dow30 is 14 , which is larger, thus worse compared to the benchmark SPY (8.42 ) in the same period.
• Looking at Ulcer Index in of 8.31 in the period of the last 3 years, we see it is relatively larger, thus worse in comparison to SPY (3.61 ).

MaxDD:

'Maximum drawdown measures the loss in any losing period during a fund’s investment record. It is defined as the percent retrenchment from a fund’s peak value to the fund’s valley value. The drawdown is in effect from the time the fund’s retrenchment begins until a new fund high is reached. The maximum drawdown encompasses both the period from the fund’s peak to the fund’s valley (length), and the time from the fund’s valley to a new fund high (recovery). It measures the largest percentage drawdown that has occurred in any fund’s data record.'

• Compared with the benchmark SPY (-24.5 days) in the period of the last 5 years, the maximum DrawDown of -40.2 days of ProShares Ultra Dow30 is smaller, thus worse.
• Looking at maximum reduction from previous high in of -31.6 days in the period of the last 3 years, we see it is relatively smaller, thus worse in comparison to SPY (-18.8 days).

MaxDuration:

'The Drawdown Duration is the length of any peak to peak period, or the time between new equity highs. The Max Drawdown Duration is the worst (the maximum/longest) amount of time an investment has seen between peaks (equity highs). Many assume Max DD Duration is the length of time between new highs during which the Max DD (magnitude) occurred. But that isn’t always the case. The Max DD duration is the longest time between peaks, period. So it could be the time when the program also had its biggest peak to valley loss (and usually is, because the program needs a long time to recover from the largest loss), but it doesn’t have to be'

• The maximum time in days below previous high water mark over 5 years of ProShares Ultra Dow30 is 517 days, which is larger, thus worse compared to the benchmark SPY (488 days) in the same period.
• Looking at maximum days under water in of 195 days in the period of the last 3 years, we see it is relatively larger, thus worse in comparison to SPY (87 days).

AveDuration:

'The Drawdown Duration is the length of any peak to peak period, or the time between new equity highs. The Avg Drawdown Duration is the average amount of time an investment has seen between peaks (equity highs), or in other terms the average of time under water of all drawdowns. So in contrast to the Maximum duration it does not measure only one drawdown event but calculates the average of all.'

• Compared with the benchmark SPY (120 days) in the period of the last 5 years, the average time in days below previous high water mark of 138 days of ProShares Ultra Dow30 is larger, thus worse.
• During the last 3 years, the average time in days below previous high water mark is 55 days, which is greater, thus worse than the value of 21 days from the benchmark.